Weak solutions for the derivative nonlinear Schrödinger equation

The initial value problem for the derivative nonlinear Schrödinger equation (DNLS) was studied. The existence of global weak solutions and smoothing effect for DNLS was demonstrated. Compactness was required to obtain the dispersive smoothing properties of the Schrödinger equation.

Guardado en:
Detalles Bibliográficos
Autor principal: Rial, D.F.
Formato: JOUR
Materias:
Derivative nonlinear Schrödinger equation
Nonlocal dissipation
Smoothing effect
Weak solutions
Convergence of numerical methods
Initial value problems
Mathematical transformations
Theorem proving
Shrodinger equations
Nonlinear equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v49_n2_p149_Rial
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:The initial value problem for the derivative nonlinear Schrödinger equation (DNLS) was studied. The existence of global weak solutions and smoothing effect for DNLS was demonstrated. Compactness was required to obtain the dispersive smoothing properties of the Schrödinger equation.

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